Functions and Relations

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

Is the mapping {(1,2), (2,3), (3,4)} a function?

Back

Yes, because each x-value has only one y-value.

Front

Is the mapping {(1,2), (1,3), (2,4)} a function?

Back

No, because the x-value 1 has two different y-values.

Front

Given the function {(0,1), (1,-3), (2,-4)}, what is the domain?

Back

D: {0, 1, 2}.

Front

Given the function {(0,1), (1,-3), (2,-4)}, what is the range?

Back

R: {1, -3, -4}.

Front

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one x-value is paired with more than one y-value.

Front

What are the x-values in the relation {(0,1), (1,-3), (2,-4)} called?

Back

They are called the domain.

Front

What are the y-values in the relation {(0,1), (1,-3), (2,-4)} called?

Back

They are called the range.